Mt Paper i (Question Paper)

8/13/2019 Mt Paper i (Question Paper)

1/4

Head Office: Andheri: 26245223 MUMBAI / NASHIK / AKOLA / DELHI / KOLKATA / LUCKNOW

PART I : PHYSICS Section I : Single Correct Answer Type

This section contains 10 multiple choice questions.Each question has four choices (A), (B), (C)

and (D) out of which ONLY ONE is correct.

1. In a process the pressure of an ideal gas is proportional to square of the volume of the gas. If the

temperature of the gas increases in this process, then work done by this gas :(a) is positive (b) is negative (c) is zero (d) may be positive

2. Charges 2Q and Q are placed as shown in figure. The potential at a point at a finite distance where

electric field is zero will be:

+

A B

+ 2Q-Q

(a) positive (b) negative

(c) zero (d) Not defined if the potential at the infinity to be taken as zero

3. For the given graphs (a) and (b) find the value of electric field at point (1m, 2m):

y= 2

y= 1

x= 2

4

2

0x(in m)

Vi

nvolt

4

x= 2

x= 1

y= 2

4

2

0y (in m)

Vi

nvolt

4

(a) (b)

(a) 2i jV m (b) i 2jV m (c) 2i 2jV m (d) i 2 jV m

4. A body starts from rest at a point, distance 0R from the centre of the earth of mass M, radius R. The

velocity acquired by the body when it reaches the surface of the earth will be 0R R

(a)0

1 1GM

R R

(b)

0

1 12GM

R R

(c)

0

1 12GM

R R

(d)

0

1 12GM

R R

5. A spring of force constant has two blocks of mass M and 2M connected to each end of the springas shown in figure. Same force f acts at each end then period of vibration is: (Assume friction

between the blocks and horizontal surface is negligible)

M 2 Mf f

(a)2M

23

(b)M

2

(c)2M

3

(d)

M2

3


2/4


6. Two bars each of mass M and length L is in pure translatory motion with their centre of mass

velocity V as shown in the figure. The bars collide and stick to each other. (Assume that it becomes

one composite bar of length 2L). The angular velocity of the composite bar will be

L

M

V

M

P

LV

(a)3 V

2 Lclockwise (b)

4 V

3 Lclockwise

(c)3 V

4 Lcounterclockwise (d)

3 V

2 Lcounterclockwise

7. A thin equiconvex lens of focal length 10cm and refractive index 1.5 is cut vertically into two equal

pieces. They are placed as shown with a liquid of refractive index 3 between them. What is the focal

length of the combination?

(a) 10cm (b) 10 4cm (c) 10 3cm (d) none

8. Two satellites 1S and 2S revolve around a planet in coplanar circular orbits in the same sense. Their

periods of revolution are 1 hour and 8 hours respectively. The radius of the orbit of 1S is410 km.

When 1S is closest to 2S , the angular speed 2S as observed by an astronaut in 1S is:

(a) rad/hr (b) 2rad/hr (c) / 3 rad/hr (d) /2 rad/hr

9. The fundamental frequency of sonometer wire of length is 0n . A bridge is now introduced at a

distance from the centre of the wire. The lengths of wire on the two sides of the bridge are

now vibrated in their fundamental modes. Then, the beat frequency nearly is:

(a) 08n / (b) 0n / (c) 02n / (d) 0n / 2

10. The transversewave shown is traveling from right to left in

a medium. The direction of the instantaneous velocity of

the medium at point P is:

(a) (b) (c) (d)

P

v

y

x


3/4


SECTION II : Multiple Correct Answer(s) Type

This section contains 5 multiple choice questions.Each question has four choices (A),

(B), (C) or (D) out of which ONE or MORE are correct.

11. During an experiment, an ideal gas is found to obey a condition2P

= constant [ = density of the

gas]. The gas is initially at temperature T, pressure P and density . The gas expands such that

density changes to2

(a) The pressure of the gas changes to 2 P.

(b) The temperature of the gas changes to 2 T.

(c) The graph of the above process on the P T diagram is parabola.

(d) The graph of the above process on the P T diagram is hyperbola.

12. Number of collisions of molecules of a gas on the wall of a container per 2m will:

(a) Increase if temperature and volume both are doubled.

(b) Increase if temperature and volume both are halved.

(c) Increase if pressure and temperature both are doubled.

(d) Increase if pressure and temperature both are halved.

13. Two large thin conducting plates with small gap in between are placed in a uniform electric field E

(perpendicular to the plates). Area of each plate is A and charges +Q and Q are given to these plates

as shown in the figure. If points R, S and T as shown in the figure are three points in space, then the

Q Q

S T

R

E

(a) field at point R is E (b) field at point S is E

(c) field at point T is0

QE

A

(d) field at point S is

0

QE

A

14. A body floats on water and also on oil of density 1.25. Which of the following is/are true?

(a) The body loses more weight in oil than in water

(b) The volume of water displaced is 1.25 times that of oil displaced

(c) The body experiences equal upthrust from water and oil

(D) to make the body just sink, one will need 1.25 times load in case of oil than in case of water

15. A book of magic is just on the other side of the glass crystal ball 3 2 from Harry, almost

touching the crystal ball. When Harry reads the book through the centre of the crystal ball, he sees

that the image is enlarged (magnified). The image is also:

(a) upright (b) inverted (c) real (d) virtual


4/4


SECTION III: Integer Answer Type

This section contains 5 questions. The answer to each question is a single digit

integer, ranging from 0 to 9 (both inclusive)

16. Two small electric dipoles each of dipole moment p i are situated at (0, 0, 0) and (r, 0, 0). The

electric potential at a pointr 3r

' , 02 2

is x volt then find the value of x.

17. At t = 0 a golf ball is projected with some initial speed at an angle above the horizontal. Suppose that at the instant the ball is launched,

a retriever robot on wheels is sent off from, the launch point. The

robot starts from rest and moves with constant acceleration in a

straight line along the ground. What must be the magnitude

2a in m s of the robots acceleration such that the ball comes down right on the robot? Take

tan 5 4 and horizontal level of projection and that of retriever robot same. ( g = 10 m/s2)

18. A sample of an ideal gas is in a cylinder fitted with a piston. As

5.76kJ of heat is supplied to the gas to raise its temperature, the

pressure of the gas adjusted so that the state of the gas changes

from point A to point B along the semicircle in P-V graph shown

in figure.

The change in internal energy of the gas is 1.6 n kJ. Find n.

Take 22 7

19. Electric field in a region is given by E 4x i 6y j

. If the charge enclosed by the cube is0

n in

the cube of side 1m oriented as shown in the figure . Find the value of n

z

x

y

20. A particle is released from height R from the surface of earth where R is radius of the earth. If the

acceleration of particle at that height is given byg

n. Then find the value of n.

robot

ball

500

400

300

200

100

A B

1.4 4.2 7.0 V I

P kPa

Documents

Mt Paper i (Question Paper)